Singularities of Kahler-Einstein Metrics and Complete Calabi-Yau Manifolds
Δημοσιεύτηκε στις 23 Απρ 2013
Hans-Joachim Hein
Research Associate in Geometry, Department of Mathematics
Imperial College, London
ABSTRACT
When
Einstein metrics form singularities one expects to see a bubble tree
structure in which the bubbles are complete Ricci-flat spaces. We still
lack a detailed understanding of this process in general. I will discuss
several examples - old, new, and speculative - of singularity formation
in the Kähler-Einstein case. Topics will include gravitational
instantons in real dimension 4, and isolated Einstein singularities
whose tangent cones have nonisolated singularities. Partly joint with
Ronan Conlon and Aaron Naber.
Recorded April 13th, 2013 as part of Calabifest: The 28th Geometry Festival.
Research Associate in Geometry, Department of Mathematics
Imperial College, London
ABSTRACT
When
Einstein metrics form singularities one expects to see a bubble tree
structure in which the bubbles are complete Ricci-flat spaces. We still
lack a detailed understanding of this process in general. I will discuss
several examples - old, new, and speculative - of singularity formation
in the Kähler-Einstein case. Topics will include gravitational
instantons in real dimension 4, and isolated Einstein singularities
whose tangent cones have nonisolated singularities. Partly joint with
Ronan Conlon and Aaron Naber.
Recorded April 13th, 2013 as part of Calabifest: The 28th Geometry Festival.
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ANAΡΤΗΣΗ ΑΠΟ ΤΟ YOUTUBE 5/5/2015
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